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669314976 = 253111933359
BaseRepresentation
bin100111111001001…
…110111110100000
31201122102201112120
4213321032332200
52332321034401
6150225424240
722405040421
oct4771167640
91648381476
10669314976
113138a1280
1216819b080
13a8887685
1464c6b648
153db60836
hex27e4efa0

669314976 has 96 divisors (see below), whose sum is σ = 2017612800. Its totient is φ = 192142080.

The previous prime is 669314963. The next prime is 669314993. The reversal of 669314976 is 679413966.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385 + ... + 36743.

It is an arithmetic number, because the mean of its divisors is an integer number (21016800).

Almost surely, 2669314976 is an apocalyptic number.

669314976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669314976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008806400).

669314976 is an abundant number, since it is smaller than the sum of its proper divisors (1348297824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

669314976 is a wasteful number, since it uses less digits than its factorization.

669314976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33402 (or 33394 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 669314976 is about 25871.1224340963. The cubic root of 669314976 is about 874.7356920335.

The spelling of 669314976 in words is "six hundred sixty-nine million, three hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 33359 66718 100077 133436 200154 266872 366949 400308 533744 633821 733898 800616 1067488 1100847 1267642 1467796 1601232 1901463 2201694 2535284 2935592 3202464 3802926 4403388 5070568 5871184 6972031 7605852 8806776 10141136 11742368 13944062 15211704 17613552 20282272 20916093 27888124 30423408 35227104 41832186 55776248 60846816 83664372 111552496 167328744 223104992 334657488 669314976